216268416 has 192 divisors, whose sum is σ = 766321920. Its totient is φ = 57010176.

The previous prime is 216268411. The next prime is 216268417. The reversal of 216268416 is 614862612.

216268416 is a `hidden beast` number, since 21 + 626 + 8 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (216268411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103801 + ... + 105863.

It is an arithmetic number, because the mean of its divisors is an integer number (3991260).

Almost surely, 2^216268416 is an apocalyptic number.

216268416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383160960).

216268416 is an abundant number, since it is smaller than the sum of its proper divisors (550053504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216268416 is a wasteful number, since it uses less digits than its factorization.

216268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2088 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 216268416 is about 14706.0673193074. The cubic root of 216268416 is about 600.2484304563.

The spelling of 216268416 in words is "two hundred sixteen million, two hundred sixty-eight thousand, four hundred sixteen".